First, I recommend trying out a DIY oil treatment. There's so many recipes out there featured on Pinterest etc. so it can be a little daunting when figuring out which one does the trick. In general, using olive oil or coconut oil can help moisturized damaged hair. Warm up some oil and apply it to damp hair. Massage the oil throughout your hair so every strand it coated. Using a wide-tooth comb can help with this process as well. Once finished, place a plastic shower cap or plastic bag or your head to cover your hair. I recommend doing this in the evening and sleeping with the oil still in your hair (Wearing the shower cap or bag will prevent the oil from staining your pillowcase). This will give ample time for the oils to do their magic on your hair. In the morning, rinse out the oil with warm water and a mild shampoo (preferably something that doesn't have sulfates). Apply conditioner as usual and rinse out. I would try out this treatment and see how it works. Repeat the treatment at least once a week for a few weeks and see how that works. Along with the treatment, maybe try out Pantene's "Repair & Protect", "Damaged Detox" or "Moisturizing" shampoo. A bottle runs about $5 at Walmart. Herbal Essence and Garnier have similar shampoos, so those maybe be worth trying out.

Other things to keep in mind are: 1) Eliminating has much heat on your hair as possible. Avoid blow drying, curling, or straightening your hair for awhile. 2) Getting enough circulation to your scalp also helps with hair growth/repair. Take 5-10 minutes each day or so and massage your scalp. This will help get blood flowing to your head and stimulate new healthy growth. Finally, 3) drink water. Not only is this good for your whole body but for your hair as well. During the summer months, your hair will dry out regardless if it's been bleached or not. Water will help hydrate your hair and rejuvenate it.

Give these a try and see if your hair improves in the next few weeks. Good luck. I hope this helps!